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Finding the Fourth Proportional to 9,540.76, 13,157.67 and 6,180.07

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Solution

The fourth proportional to 9,540.76, 13,157.67 and 6,180.07 is: 8,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.76 : 13,157.67 = 6,180.07 : x
  2. Step 2: Convert to fraction form
    9,540.76/13,157.67 = 6,180.07/x
  3. Step 3: Cross multiply
    9,540.76x = 13,157.67 × 6,180.07
  4. Step 4: Simplify right side
    9,540.76x = 81,315,321.64
  5. Step 5: Solve for x
    x = 81,315,321.64/9,540.76
  6. Step 6: Final answer
    x = 8,522.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.